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Simplifying 3(3n + -1) = 4(3 + n) Reorder the terms: 3(-1 + 3n) = 4(3 + n) (-1 * 3 + 3n * 3) = 4(3 + n) (-3 + 9n) = 4(3 + n) -3 + 9n = (3 * 4 + n * 4) -3 + 9n = (12 + 4n) Solving -3 + 9n = 12 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -3 + 9n + -4n = 12 + 4n + -4n Combine like terms: 9n + -4n = 5n -3 + 5n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 -3 + 5n = 12 + 0 -3 + 5n = 12 Add '3' to each side of the equation. -3 + 3 + 5n = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 5n = 12 + 3 5n = 12 + 3 Combine like terms: 12 + 3 = 15 5n = 15 Divide each side by '5'. n = 3 Simplifying n = 3
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